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Multivariable Calculus + Physics help

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Hi all, I am a university student taking Calculus II at the moment. The course sometimes use physics examples, however I do not have any physics background. So I am reaching out to you guys to help me through this math question.

Homework Statement


A baseball is hit from 4ft above home plate with an initial velocity [tex]\vec v(0)=40 \vec i+12 \vec j(ft/s)[/tex] (horizontally 40ft/s and vertically 12ft/s). Neglect all forces other than gravity, [tex]g=32ft/s^2[/tex]
(a) How far does the ball travel horizontally?
(b) Find the maximum height reached.

Homework Equations



Equations, posted again, are [tex]\vec v(0)=40 \vec i+12 \vec j(ft/s)[/tex] and [tex]g=32ft/s^2[/tex]

The Attempt at a Solution



I googled and found the equation [tex]v=gt+v_i[/tex] but I'm not sure if this is the right one, or how to proceed with this. Please advise.
 
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Answers and Replies

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LCKurtz
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Hi all, I am a university student taking Calculus II at the moment. The course sometimes use physics examples, however I do not have any physics background. So I am reaching out to you guys to help me through this math question.

Homework Statement


A baseball is hit from 4ft above home plate with an initial velocity [tex]\vec v(0)=40 \vec i+12 \vec j(ft/s)[/tex] (horizontally 40ft/s and vertically 12ft/s). Neglect all forces other than gravity, [tex]g=32ft/s^2[/tex]
(a) How far does the ball travel horizontally?
(b) Find the maximum height reached.

Homework Equations



Equations, posted again, are [tex]\vec v(0)=40 \vec i+12 \vec j(ft/s)[/tex] and [tex]g=32ft/s^2[/tex]

The Attempt at a Solution



I googled and found the equation [tex]v=gt+v_i[/tex] but I'm not sure if this is the right one, or how to proceed with this. Please advice.
That's "advise", not "advice".

Start with the acceleration ##\vec A = 0i - 32j##, integrate twice and use your initial position and velocity to evaluate the constants to get the equations of motion.
 

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